Abstract: By using the method of vector Lyapunov function ,the partial connective stability of large-scale systems with functionally dependent factor is discussed. Some results of uniform asymptotic stability and exponential stability in the sense of partial connective stability are given，and some conclusions relative to the connective systems are extended.

Key words: large-scale systems, functionally dependent factor, uniform asymptotic stability for partial connection , exponential stability for partial connection, vector Lyapunov function, negative diagonally dominant matrix